GCF and LCM Calculator Logo

What is the Least Common Multiple of 15401 and 15411?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 15401 and 15411 is 237344811.

LCM(15401,15411) = 237344811

LCM Calculator and
and

Least Common Multiple of 15401 and 15411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15401 and 15411, than apply into the LCM equation.

GCF(15401,15411) = 1
LCM(15401,15411) = ( 15401 × 15411) / 1
LCM(15401,15411) = 237344811 / 1
LCM(15401,15411) = 237344811

Least Common Multiple (LCM) of 15401 and 15411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15401 and 15411. First we will calculate the prime factors of 15401 and 15411.

Prime Factorization of 15401

Prime factors of 15401 are 15401. Prime factorization of 15401 in exponential form is:

15401 = 154011

Prime Factorization of 15411

Prime factors of 15411 are 3, 11, 467. Prime factorization of 15411 in exponential form is:

15411 = 31 × 111 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 15401 and 15411.

LCM(15401,15411) = 154011 × 31 × 111 × 4671
LCM(15401,15411) = 237344811